What is the general solution for cos(θ)= 10/15 ?

The general solution for cos(θ)= 10/15 is θ=0.84106…+2pin,θ=2pi-0.84106…+2pin

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cos(θ)= 10/15

cos (θ) = \frac{10}{15}

θ = 0.84106 \dots + 2 πn, θ = 2 π - 0.84106 \dots + 2 πn

Degrees

θ = 48.18968 \dots^{\circ} + 36 0^{\circ} n, θ = 311.81031 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{10}{15}

Cancel the common factor:

5

cos (θ) = \frac{2}{3}

Apply trig inverse properties

cos (θ) = \frac{2}{3}

General solutions for

cos (θ) = \frac{2}{3}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

θ = arccos (\frac{2}{3}) + 2 πn, θ = 2 π - arccos (\frac{2}{3}) + 2 πn

θ = arccos (\frac{2}{3}) + 2 πn, θ = 2 π - arccos (\frac{2}{3}) + 2 πn

Show solutions in decimal form

θ = 0.84106 \dots + 2 πn, θ = 2 π - 0.84106 \dots + 2 πn

sin (θ) = \frac{40}{60}

10 = 3.44 sin (0.51 t + 4.11) + 9.48

2 cot^{2} (z) + 5 = 7 csc (z)

sin^{2} (x) = 6

sin^{2} (φ) + cos^{2} (φ) = 2

What is the general solution for cos(θ)= 10/15 ?
The general solution for cos(θ)= 10/15 is θ=0.84106…+2pin,θ=2pi-0.84106…+2pin